Suppose 52R% of the population has a college degree. If a random sample of size 808808 is selected, what is the probability that the proportion of persons with a college degree will be less than 54T%

The probability is  

Step-by-step explanation:

From the question we are told that

   The population proportion is  p =  54% = 0.54

    The sample size is  n  =  808

Generally the distribution of the population with college degree follows a binomial distribution  

i.e  

Generally the mean is mathematically represented as

=>    

=>    

Generally the standard deviation is mathematically represented as

=>          

=>      

Generally 54% of the population proportion is

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Generally by normal approximation of the binomial distribution the probability that the proportion of persons with a college degree will be less than 54% is mathematically evaluated as

=>  

applying continuity correction

=>  

=>  

From the z table  the area under the normal curve to the left corresponding to 0.1028  is

=>

step-by-step explanation: